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Simplifying 5x + -6 + 120 = 7x + -18 Reorder the terms: -6 + 120 + 5x = 7x + -18 Combine like terms: -6 + 120 = 114 114 + 5x = 7x + -18 Reorder the terms: 114 + 5x = -18 + 7x Solving 114 + 5x = -18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 114 + 5x + -7x = -18 + 7x + -7x Combine like terms: 5x + -7x = -2x 114 + -2x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 114 + -2x = -18 + 0 114 + -2x = -18 Add '-114' to each side of the equation. 114 + -114 + -2x = -18 + -114 Combine like terms: 114 + -114 = 0 0 + -2x = -18 + -114 -2x = -18 + -114 Combine like terms: -18 + -114 = -132 -2x = -132 Divide each side by '-2'. x = 66 Simplifying x = 66
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